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Finding the Fourth Proportional to 259,596.80, 388,934.40 and 160,985.60

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Solution

The fourth proportional to 259,596.80, 388,934.40 and 160,985.60 is: 241,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,596.80 : 388,934.40 = 160,985.60 : x
  2. Step 2: Convert to fraction form
    259,596.80/388,934.40 = 160,985.60/x
  3. Step 3: Cross multiply
    259,596.80x = 388,934.40 × 160,985.60
  4. Step 4: Simplify right side
    259,596.80x = 62,612,837,744.64
  5. Step 5: Solve for x
    x = 62,612,837,744.64/259,596.80
  6. Step 6: Final answer
    x = 241,192.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.